Question

linear equations w/ distribution (lev 3)
score: 0/6 penalty: none

question

solve for ( x ):

( -6 - (-4x + 2) - x = -(5x - 2) )

answer attempt 1 out of 2

( x = )
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Explanation:

Step1: Simplify both sides

First, simplify the left - hand side:
\(-6-(-4x + 2)-x=-6 + 4x-2-x\)
Combine like terms: \((4x-x)+(-6 - 2)=3x-8\)
Then, simplify the right - hand side:
\(-(5x - 2)=-5x + 2\)
So the equation becomes \(3x-8=-5x + 2\)

Step2: Add \(5x\) to both sides

Add \(5x\) to each side of the equation \(3x-8=-5x + 2\) to get:
\(3x+5x-8=-5x + 5x+2\)
\(8x-8 = 2\)

Step3: Add 8 to both sides

Add 8 to both sides of the equation \(8x-8 = 2\):
\(8x-8 + 8=2 + 8\)
\(8x=10\)

Step4: Divide by 8

Divide both sides of the equation \(8x = 10\) by 8:
\(x=\frac{10}{8}=\frac{5}{4}\)

Answer:

\(\frac{5}{4}\)